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Finding the Fourth Proportional to 2,082.48, 3,123.10 and 695.46

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Solution

The fourth proportional to 2,082.48, 3,123.10 and 695.46 is: 1,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.48 : 3,123.10 = 695.46 : x
  2. Step 2: Convert to fraction form
    2,082.48/3,123.10 = 695.46/x
  3. Step 3: Cross multiply
    2,082.48x = 3,123.10 × 695.46
  4. Step 4: Simplify right side
    2,082.48x = 2,171,991.13
  5. Step 5: Solve for x
    x = 2,171,991.13/2,082.48
  6. Step 6: Final answer
    x = 1,042.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.